Elliptic Curve Cryptography-A Network Security

Cryptography is an interdisciplinary field of great practical importance. The subfield of public key cryptography has notable applications, such as digital signatures. The security of a public key cryptosystem depends on the difficulty of certain computational problems in mathematics . A deep understanding of the security and efficient implementation of public key cryptography requires significant background in algebra, number theory and geometry . Most common public key cryptosystems and public key exchange protocols presently in use, such as the RSA algorithm, Diffie Hellman, and elliptic curve methods are number theory based and hence depend on the structure of abelian groups.